Hydraulics Equation Problem

Try this out,it's on hydraulics Equation.

Prove that the resultant force F on a plane surface of area A immersed vertically in a liquid of density (rho) is given by the equation:
F=rho.g.A.z
Where 'z' is the depth to the centroid of the plane area below the liquid surface level.

2 Answers

106
Asish Mahapatra ·

pressure at a depth h below the surface h = ρgh
So, resultant force = ρghA (btw as plane is in eqbm there is upward and downward equal forces)
The resultant is for one force only.

In this problem, h=z.
So, F=ρgAz

1
MATRIX ·

ya gud work asish

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